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Finding the Fourth Proportional to 77.62, 116.22 and 51.90

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Solution

The fourth proportional to 77.62, 116.22 and 51.90 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.62 : 116.22 = 51.90 : x
  2. Step 2: Convert to fraction form
    77.62/116.22 = 51.90/x
  3. Step 3: Cross multiply
    77.62x = 116.22 × 51.90
  4. Step 4: Simplify right side
    77.62x = 6,031.82
  5. Step 5: Solve for x
    x = 6,031.82/77.62
  6. Step 6: Final answer
    x = 77.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.